Search results for "image processing"

showing 10 items of 3285 documents

Minimal Absent Words in Rooted and Unrooted Trees

2019

We extend the theory of minimal absent words to (rooted and unrooted) trees, having edges labeled by letters from an alphabet \(\varSigma \) of cardinality \(\sigma \). We show that the set \(\text {MAW}(T)\) of minimal absent words of a rooted (resp. unrooted) tree T with n nodes has cardinality \(O(n\sigma )\) (resp. \(O(n^{2}\sigma )\)), and we show that these bounds are realized. Then, we exhibit algorithms to compute all minimal absent words in a rooted (resp. unrooted) tree in output-sensitive time \(O(n+|\text {MAW}(T)|)\) (resp. \(O(n^{2}+|\text {MAW}(T)|)\) assuming an integer alphabet of size polynomial in n.

Polynomial (hyperelastic model)050101 languages & linguistics05 social sciencesComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)02 engineering and technologyCombinatoricsTree (descriptive set theory)CardinalityInteger0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processing0501 psychology and cognitive sciencesAlphabetMinimal Absent Words Rooted trees Unrooted Trees AlgorithmsNonlinear Sciences::Pattern Formation and SolitonsComputer Science::Formal Languages and Automata TheoryMathematics
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Cell-average multiresolution based on local polynomial regression. Application to image processing

2014

In Harten (1996) [32] presented a general framework about multiresolution representation based on four principal operators: decimation and prediction, discretization and reconstruction. The discretization operator indicates the nature of the data. In this work the pixels of a digital image are obtained as the average of a function in some defined cells. A family of Harten cell-average multiresolution schemes based on local polynomial regression is presented. The stability is ensured by the linearity of the operators obtained and the order is calculated. Some numerical experiments are performed testing the accuracy of the prediction operators in comparison with the classical linear and nonli…

Polynomial regressionComputational MathematicsDecimationMathematical optimizationDigital imageOperator (computer programming)Kernel methodDiscretizationApplied MathematicsLinearityImage processingAlgorithmMathematicsApplied Mathematics and Computation
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Non-consistent cell-average multiresolution operators with application to image processing

2016

In recent years different techniques to process signal and image have been designed and developed. In particular, multiresolution representations of data have been studied and used successfully for several applications such as compression, denoising or inpainting. A general framework about multiresolution representation has been presented by Harten (1996) 20. Harten's schemes are based on two operators: decimation, D , and prediction, P , that satisfy the consistency property D P = I , where I is the identity operator. Recently, some new classes of multiresolution operators have been designed using learning statistical tools and weighted local polynomial regression methods obtaining filters…

Polynomial regressionDecimationTheoretical computer scienceApplied MathematicsInpaintingImage processing010103 numerical & computational mathematics01 natural sciences010101 applied mathematicsComputational MathematicsOperator (computer programming)Consistency (statistics)0101 mathematicsRepresentation (mathematics)AlgorithmMathematicsImage compressionApplied Mathematics and Computation
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Novel algorithms for 3D surface point cloud boundary detection and edge reconstruction

2019

Abstract Tessellated surfaces generated from point clouds typically show inaccurate and jagged boundaries. This can lead to tolerance errors and problems such as machine judder if the model is used for ongoing manufacturing applications. This paper introduces a novel boundary point detection algorithm and spatial FFT-based filtering approach, which together allow for direct generation of low noise tessellated surfaces from point cloud data, which are not based on pre-defined threshold values. Existing detection techniques are optimized to detect points belonging to sharp edges and creases. The new algorithm is targeted at the detection of boundary points and it is able to do this better tha…

PolynomialBoundary detection Edge reconstruction Point-cloudComputer scienceTKFast Fourier transformComputational MechanicsPoint cloudBoundary (topology)02 engineering and technologySettore ING-IND/14 - Progettazione Meccanica E Costruzione Di Macchine0203 mechanical engineeringlcsh:TA1740202 electrical engineering electronic engineering information engineeringEngineering (miscellaneous)Function (mathematics)lcsh:Engineering designComputer Graphics and Computer-Aided DesignHuman-Computer InteractionComputational MathematicsNoise020303 mechanical engineering & transportsModeling and SimulationCurve fittingArtificial noise020201 artificial intelligence & image processingAlgorithmJournal of Computational Design and Engineering
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Distributed learning automata-based scheme for classification using novel pursuit scheme

2020

Learning Automata (LA) is a popular decision making mechanism to “determine the optimal action out of a set of allowable actions” (Agache and Oommen, IEEE Trans Syst Man Cybern-Part B Cybern 2002(6): 738–749, 2002). The distinguishing characteristic of automata-based learning is that the search for the optimising parameter vector is conducted in the space of probability distributions defined over the parameter space, rather than in the parameter space itself (Thathachar and Sastry, IEEE Trans Syst Man Cybern-Part B Cybern 32(6): 711–722, 2002). Recently, Goodwin and Yazidi pioneered the use of Ant Colony Optimisation (ACO) for solving classification problems (Goodwin and Yazidi 2016). In th…

PolynomialOptimization problemLearning automataComputer sciencePolygonsFeature vector02 engineering and technologyAnt colonyParameter spaceRandom walkLearning automataSupport vector machineKernel methodArtificial IntelligenceKernel (statistics)Polygon0202 electrical engineering electronic engineering information engineeringProbability distribution020201 artificial intelligence & image processingClassificationsVDP::Teknologi: 500::Informasjons- og kommunikasjonsteknologi: 550AlgorithmApplied Intelligence
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Monads in double categories

2010

We extend the basic concepts of Street's formal theory of monads from the setting of 2-categories to that of double categories. In particular, we introduce the double category Mnd(C) of monads in a double category C and define what it means for a double category to admit the construction of free monads. Our main theorem shows that, under some mild conditions, a double category that is a framed bicategory admits the construction of free monads if its horizontal 2-category does. We apply this result to obtain double adjunctions which extend the adjunction between graphs and categories and the adjunction between polynomial endofunctors and polynomial monads.

PolynomialPure mathematicsDemostració Teoria de la02 engineering and technology01 natural sciences510 - Consideracions fonamentals i generals de les matemàtiquesdouble categoriesDistributive law between monadsComputer Science::Logic in Computer ScienceMathematics::Category TheoryFOS: Mathematics0202 electrical engineering electronic engineering information engineeringCategory Theory (math.CT)0101 mathematicsMathematicsDiscrete mathematicsAlgebra and Number TheoryTheory010102 general mathematicsMathematics - Category Theory16. Peace & justiceAdjunctionBicategorySettore MAT/02 - AlgebraCategories (Matemàtica)Monad020201 artificial intelligence & image processing18D05 18C15Journal of Pure and Applied Algebra
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A New Set of Quartic Trivariate Polynomial Equations for Stratified Camera Self-calibration under Zero-Skew and Constant Parameters Assumptions

2012

This paper deals with the problem of self-calibrating a moving camera with constant parameters. We propose a new set of quartic trivariate polynomial equations in the unknown coordinates of the plane at infinity derived under the no-skew assumption. Our new equations allow to further enforce the constancy of the principal point across all images while retrieving the plane at infinity. Six such polynomials, four of which are independent, are obtained for each triplet of images. The proposed equations can be solved along with the so-called modulus constraints and allow to improve the performance of existing methods.

PolynomialZero skewCalibration (statistics)Mathematical analysisPrincipal point[INFO.INFO-CV]Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]020207 software engineering02 engineering and technology[ INFO.INFO-CV ] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]Set (abstract data type)[INFO.INFO-CV] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]Plane at infinityQuartic functionComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingConstant (mathematics)ComputingMilieux_MISCELLANEOUSMathematics
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Autofluorescence imaging of basal cell carcinoma by smartphone RGB camera

2015

The feasibility of smartphones for in vivo skin autofluorescence imaging has been investigated. Filtered autofluorescence images from the same tissue area were periodically captured by a smartphone RGB camera with subsequent detection of fluorescence intensity decreasing at each image pixel for further imaging the planar distribution of those values. The proposed methodology was tested clinically with 13 basal cell carcinoma and 1 atypical nevus. Several clinical cases and potential future applications of the smartphone-based technique are discussed.

PorphyrinsSkin NeoplasmsLightComputer scienceBiomedical EngineeringDermoscopyImage processingFluorescenceBiomaterialsOpticsmedicineHumansBasal cell carcinomaNevusSkinPhotobleachingPixelbusiness.industrySkin autofluorescenceNADmedicine.diseaseAtypical nevusAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsAutofluorescenceFluorescence intensityMicroscopy FluorescenceCarcinoma Basal CellRGB color modelCollagenSmartphonebusinessBiomedical engineeringJournal of Biomedical Optics
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A probabilistic framework for automatic prostate segmentation with a statistical model of shape and appearance

2011

International audience; Prostate volume estimation from segmented prostate contours in Trans Rectal Ultrasound (TRUS) images aids in diagnosis and treatment of prostate diseases, including prostate cancer. However, accurate, computationally efficient and automatic segmentation of the prostate in TRUS images is a challenging task owing to low Signal-To-Noise-Ratio (SNR), speckle noise, micro-calcifications and heterogeneous intensity distribution inside the prostate region. In this paper, we propose a probabilistic framework for propagation of a parametric model derived from Principal Component Analysis (PCA) of prior shape and posterior probability values to achieve the prostate segmentatio…

Posterior probability030218 nuclear medicine & medical imaging03 medical and health sciences0302 clinical medicineExpectation–maximization algorithm[ INFO.INFO-TI ] Computer Science [cs]/Image ProcessingActive Appearance Model.Computer visionMathematicsbusiness.industryBayes ClassificationProbabilistic logicStatistical modelSpeckle noisePattern recognitionImage segmentationProstate SegmentationExpectationMaximizationActive appearance modelActive Appearance Model[INFO.INFO-TI] Computer Science [cs]/Image Processing [eess.IV][INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV]Parametric modelArtificial intelligencebusiness030217 neurology & neurosurgery
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Compliance of IEEE 802.22 WRAN for field area network in smart grid

2016

Distributed power system network is going to be complex, and it will require high-speed, reliable and secure communication systems for managing intermittent generation with coordination of centralised power generation, including load control. Cognitive Radio (CR) is highly favourable for providing communications in Smart Grid by using spectrum resources opportunistically. The IEEE 802.22 Wireless Regional Area Network (WRAN) having the capabilities of CR use vacant channels opportunistically in the frequency range of 54 MHz to 862 MHz occupied by TV band. A comprehensive review of using IEEE 802.22 for Field Area Network in power system network using spectrum sensing (CR based communication…

Power managementEngineeringbusiness.industry020206 networking & telecommunications02 engineering and technologyDynamic spectrum managementBase stationSmart gridIEEE 802.22Cognitive radioCustomer-premises equipment0202 electrical engineering electronic engineering information engineeringWireless020201 artificial intelligence & image processingbusinessComputer network2016 IEEE International Conference on Power System Technology (POWERCON)
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